A three-dimensional element-free framework for coupled mechanical-diffusion induced nonlinear deformation of polymeric gels using the IMLS-Ritz method

Li, D.M. ORCID: https://orcid.org/0000-0001-7677-7834, Zhang, L.W. and Liew, K.M. 2015. A three-dimensional element-free framework for coupled mechanical-diffusion induced nonlinear deformation of polymeric gels using the IMLS-Ritz method. Computer Methods in Applied Mechanics and Engineering 296 , pp. 232-237. 10.1016/j.cma.2015.05.011

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Abstract

An element-free framework is developed for the three-dimensional transient process of coupled mechanical-diffusion induced nonlinear deformation of polymeric gels based on the improved moving least-squares Ritz (IMLS-Ritz) method. The method approximates the displacement and chemical potential fields of the gels using the IMLS approximation. An energy formulation for the system is derived and a set of discrete equations is obtained through the Ritz procedure. As a result, the corresponding formulae of the element-free IMLS-Ritz method for three-dimensional transient analysis of the coupled mechanical and diffusion induced nonlinear deformation in polymeric gel are furnished. The numerical accuracy of the IMLS-Ritz method is demonstrated through analyzing the coupled mechanical-diffusion induced transient nonlinear deformation of cubic, thin film and rod gels.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Publisher:	Elsevier
ISSN:	0045-7825
Date of Acceptance:	13 May 2015
Last Modified:	07 Nov 2022 10:01
URI:	https://orca.cardiff.ac.uk/id/eprint/130917

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